(15 pts) Complete the triangle: Angles A = 290 Sides a- b = 92.1 C= 90°...

Question

Question

(15 pts) Complete the triangle: Angles A = 290 Sides a- b = 92.1 C= 90° C=

Answer 1

Answer #1

as we know the sum of the the angle of triangle is 180 degree

A+B+C=180

29+b+90=180

119+b=180

b=180-119=61

so angle b is 61 degree

now we can find side a and c by using sine formula

A/sina=B/sinb

A/sin29=92.1/sin61

A=(92.1X0.48481)/0.8746=44.651/0.8746=51.05

SO SIDE A=51.05

now B/sinb=C/sinc

92.1/0.8746=C/sin90

105.305=C/1

SO SIDE C=105.31

Answer 2

Similar Homework Help Questions

7.(15 pts.) Use trigonometry to find all sides and angles in the triangle below. 28 in...

7.(15 pts.) Use trigonometry to find all sides and angles in the triangle below. 28 in 30 in5 28n
1. Triangle ABC has sides a, b, and c, with C 90. Use the given sides...

1. Triangle ABC has sides a, b, and c, with C 90. Use the given sides to find the six trigonometric values ofA. 30 points a 5 ft c 6 ft b.
1. Let the angles of a triangle be α, β, and γ, with opposite sides of...

1. Let the angles of a triangle be α, β, and γ, with opposite sides of length a, b, and c, respectively. Use the Law of Sines to find the remaining sides. (Round your answers to one decimal place.) α = 48°; β = 83°; c = 112 a= b= 2. Let the angles of a triangle be α, β, and γ, with opposite sides of length a, b, and c, respectively. Use the Law of Sines to find the remaining sides....

What is the value of each of the angles of a triangle whose sides are a...

What is the value of each of the angles of a triangle whose sides are a = 87, b = 131, and c = 194 cm in length? (Hint: Consider using the law of cosines.) α = ° β = ° γ = °
what is the value of each of the angles of a triangle whose sides areョ" 88,...

what is the value of each of the angles of a triangle whose sides areョ" 88, b-152, and c Consider using the law of cosines.) 176 cm in length? (Hint: Answers CJ10 1 PO19
What is the value of each of the angles of a triangle whose sides are 148,...

What is the value of each of the angles of a triangle whose sides are 148, 190 and 94 cm in length?

Solve the right triangle shown to the right. a b-36.18 cm 24.19 A Angles A 24.19...

Solve the right triangle shown to the right. a b-36.18 cm 24.19 A Angles A 24.19 Sides a a cm b-36.18 cm B= C 90 C cm (Type integers or decimals rounded to two decimal places as needed.)
If you know 3 parts (angles and sides) of one triangle are congruent to the corresponding...

If you know 3 parts (angles and sides) of one triangle are congruent to the corresponding 3 parts of another triangle, are the triangles congruent? Why?
What is the value of each of the angles of a triangle whose sides are 146,...

What is the value of each of the angles of a triangle whose sides are 146, 186, and 89 cm in length? (Hint: Consider using the law of cosines given in Appendix E.)

Please help c++ Heron's Formula for the area of a triangle with sides a, b and...

Please help c++ Heron's Formula for the area of a triangle with sides a, b and c is given by the formula: area = S(S-a) (S-b) (S-c) where s = (a+b+c)/2 Write a complete program which in main asks the user for the sides a, b and c of a triangle. Use variables of type double. Pass a, b and c to a function called area. In area calculate s defining s as a local variable. Then use s, a,...